Likelihood analysis of the newly observed $f_0(2020)$, $f_0(2330)$, and $f_0(2470)$ in $J/\psi\to \gamma\eta^\prime\eta^\prime$ as high-lying unflavored scalar mesons

TL;DR

This paper analyzes the likelihood of newly observed high-lying unflavored scalar mesons, specifically $f_0(2020)$, $f_0(2330)$, and $f_0(2470)$, in the decay process $J/\psi o \gamma \\eta' \\eta'$, contributing to the understanding of light meson spectroscopy.

Contribution

It provides a likelihood analysis of newly observed scalar mesons in $J/\psi$ decays, offering insights into their nature and classification within the light meson family.

Findings

Identification of potential high-lying scalar mesons in decay data

Enhanced understanding of the meson spectrum around 2.2 GeV

Support for the existence of unflavored scalar mesons in this energy region

Abstract

Light mesons have always been an important part of the whole hadron family, once inspiring the SU(3) classification of hadrons as a typical example~\cite{Gell-Mann:1964ewy}. Until now, the search for light mesons has been an ongoing task in hadron physics. In particular, with the accumulation of experimental data, more and more light flavor mesons with the masses around 2.2 GeV were found, including the $Y(2175)$ observed in $J/\psi\to \eta \phi f_0(980)$~\cite{BES:2007sqy} and the $X(2370)$ reported in the decay of $J/\psi\to \gamma \eta^\prime \pi^+\pi^-$~\cite{BESIII:2010gmv,BESIII:2019wkp}. These progresses show that there is a chance to construct the light meson family, which is also an effective approach to deepen our understanding of non-perturbative behavior of the strong interaction.